Abstract
In this paper, we discuss the shape design problem of space elevator. The space elevator consists of a long flexible tether, a tip-end counterbalance and a climber. The length of the tether is determined by considering a balance between centrifugal and gravitational forces. The thin belt-like tether is modeled by using a beam element. In FEM analysis, we introduce the initial stress matrix which takes the effects of applied tension into consideration. In order to find a structure having attenuation characteristic on elastic vibration, we select the H_2-norm of tether system as the evaluation item. We formulate an optimal design problem which minimizes the H_2-norm and the maximum stress simultaneously under constraint condition on the element height. The optimization problem is solved by the particle swarm optimization which is one of evolutionary algorithms. We can obtain a good structure about the vibration suppression.
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